2 papers
math.NA2025
Machine learning on manifolds for inverse scattering: Lipschitz stability analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
Establishing Lipschitz stability estimates is crucial for ensuring the mathematical robustness of neural network (NN) approximations in machine learning (ML)-based parameter estima…
math.NA2024
An all-frequency stable integral system for Maxwell's equations in 3-D penetrable media: continuous and discrete model analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
We introduce a new system of surface integral equations for Maxwell's transmission problem in three dimensions. This system has two remarkable features, both of which we prove. Fir…